A hybrid space–time of Schwarzschild interior and Vaidya–Tikekar solution as an embedding class I

Abstract

A new type of embedding class-I metric representing anisotropic fluid distribution is presented in this paper. The new solution satisfies TOV equation and does represent a static stellar configuration. This new solution is an interesting hybrid solution where g _tt is of Schwarzschild interior and g _rr is of Vaidya–Tikekar. The new solution satisfies all the physical criteria like positive finite central pressure, density, causality condition etc. It also satisfies all the energy conditions such as SEC, WEC, NEC and DEC. Using this new solution, we have presented some compact star models for Her X-1, RX J1856.5-3754, Cyg X-2 and PSR J1614-2230 by optimizing their masses and radii.

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